Job Sequencing Problem
The job sequencing problem states that We have a single processor operating system and a set of jobs that have to be completed with given deadline constraints. Our objective is to maximize the profit, given the condition that only one job can be completed at a given time.
Problem Statement : Given an array of jobs where every job has a deadline and associated profit if the job is finished before the deadline. It is also given that every job takes a single unit of time, so the minimum possible deadline for any job is 1. Task is to Maximize the total profit if only one job can be scheduled at a time.
Example:
Input: Five Jobs with following deadlines and profits
JobID Deadline Profit
a 2 100
b 1 19
c 2 27
d 1 25
e 3 15Output: Following is maximum profit sequence of jobs: c, a, e
Approach: We can solve this problem using greedy approach .
We have to Greedily choose the jobs with maximum profit first, by sorting the jobs in decreasing order of their profit. This would help to maximize the total profit as choosing the job with maximum profit for every time slot will eventually maximize the total profit
Job Sequencing Problem
Greedy Algorithm Notes for GATE Exam [2024]Fractional Knapsack ProblemOptimal File Merge PatternsPrim’s Algorithm for Minimum Spanning Tree (MST)
In the dynamic landscape of algorithmic design, Greedy Algorithms stand out as powerful tools for solving optimization problems. Aspirants preparing for the GATE Exam 2024 are poised to encounter a range of questions that test their understanding of Greedy Algorithms. These notes aim to provide a concise and insightful overview, unraveling the principles and applications of Greedy Algorithms that are likely to be scrutinized in the upcoming GATE examination.
Table of Content
- Introduction to Greedy Algorithms:
- Activity Selection Problem:
- Job Sequencing Problem
- Huffman Coding
- Kruskal’s Minimum Spanning Tree Algorithm
- Dijkstra’s shortest path algorithm
- MCQ Questions for Greedy Algorithm